Question

complete the following statement. use the integers that are closest to the number in the middle.
□ < sqrt3{11} < □

Explanation:

Step1: Find cube of 2

$2^3 = 8$

Step2: Find cube of 3

$3^3 = 27$

Step3: Compare with 11

$8 < 11 < 27$, so $\sqrt[3]{8} < \sqrt[3]{11} < \sqrt[3]{27}$

Step4: Simplify cube roots

$\sqrt[3]{8}=2$, $\sqrt[3]{27}=3$

Answer:

$2 < \sqrt[3]{11} < 3$